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Finding the Fourth Proportional to 681.44, 1,021.55 and 498.58

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Solution

The fourth proportional to 681.44, 1,021.55 and 498.58 is: 747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.44 : 1,021.55 = 498.58 : x
  2. Step 2: Convert to fraction form
    681.44/1,021.55 = 498.58/x
  3. Step 3: Cross multiply
    681.44x = 1,021.55 × 498.58
  4. Step 4: Simplify right side
    681.44x = 509,319.35
  5. Step 5: Solve for x
    x = 509,319.35/681.44
  6. Step 6: Final answer
    x = 747.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.